### Abstract

We list a number of practical applications of linear and quadratic palindromic eigenvalue problems. This chapter focuses on two applications which are discussed in detail. These are the vibration analysis of rail tracks and the regularization of the solvent equation. Special purpose algorithms are introduced and numerical examples are presented.

Original language | English |
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Title of host publication | Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory |

Subtitle of host publication | Festschrift in Honor of Volker Mehrmann |

Publisher | Springer International Publishing |

Pages | 45-65 |

Number of pages | 21 |

ISBN (Electronic) | 9783319152608 |

ISBN (Print) | 9783319152592 |

DOIs | |

State | Published - 1 Jan 2015 |

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## Cite this

Lin, W-W., & Schröder, C. (2015). Palindromic eigenvalue problems in applications. In

*Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory: Festschrift in Honor of Volker Mehrmann*(pp. 45-65). Springer International Publishing. https://doi.org/10.1007/978-3-319-15260-8_3